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Alja [10]
2 years ago
7

How do i show my working when trying to work out 3 1/3 divided by 4?

Mathematics
1 answer:
PolarNik [594]2 years ago
6 0

Answer:

5/6

Step-by-step explanation:

When dividing fractions, we use a rule where we keep the first number, change the sign, and flip the second number.

3 1/3 must be converted to an improper fraction before we can do this, though.

3 1/3 is 10/3 because we multiply 3 by the denominator, also 3, and then add one, so 10/3.

Now we can divide. Remember 4 is the same thing as 4/1

10/3 ÷ 4/1

Keep the first fraction the same, change the division sign into a multiplication sign, and divide by flip the second fraction.

It ends up looking like 10/3 x 1/4

Multiply: 10 x 1 and 3 x 4

It's 10/12, but we can simplify that by dividing both the top and the bottom by 2.

The final answer is 5/6

You might be interested in
What is the quotient of 2 1/9÷3 4/5
Karolina [17]

Answer:

\frac{5}{9}

Step-by-step explanation:

2 \frac{1}{9}  \div 3 \frac{4}{5}  \\  \\  =  \frac{2 \times 9 + 1}{9}  \div  \frac{3 \times 5 + 4}{5}  \\  \\  =  \frac{18 + 1}{9}  \div  \frac{15 + 4}{5}\\  \\  =  \frac{19}{9}  \div  \frac{19}{5}\\  \\  =  \frac{19}{9}  \times  \frac{5}{19} \\  \\  =  \frac{5}{9}

4 0
3 years ago
What makes b in the equation true 3/8 X 8/b
Gala2k [10]

\frac{3}{8} *  \frac{8}{b} =  \frac{3}{1} *  \frac{1}{b}  (I crossed simplify)

Next cross multiply;

3b = 1

b = 1/3

To check if the statement is true just substitute the value of b in the equation;

3b = 1

3(1/3) = 1

1 = 1

8 0
3 years ago
Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .
Katyanochek1 [597]

Answer:

a)The component form is

\vec {QP}=\binom{ - 1}{ - 8}

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

\vec {QP}=\vec {OP}-\vec{OQ}

We substitute the position vectors to get:

\vec {QP}=\binom{ - 8}{7} -  \binom { - 7}{15}

We subtract the corresponding components to obtain:

\vec {QP}=\binom{ - 8 -  - 7}{7 - 15}

This gives:

\vec {QP}=\binom{ - 8  + 7}{7 - 15}

This simplifies to:

\vec {QP}=\binom{ - 1}{ - 8}

The magnitude of a vector in the component form:

\binom{x}{y}

is

\sqrt{ {x}^{2}  +  {y}^{2} }

This means:

|\vec {QP}|= \sqrt{ {( - 1)}^{2}  +  {( - 8)}^{2} }

This simplifies to:

|\vec {QP}| = \sqrt{ 1 +  64 }

|\vec {QP}| = \sqrt{ 65 }

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

7 0
3 years ago
For less than than an number x is eight
Lapatulllka [165]
If for is four then x-4=8
thus would make x 12
5 0
3 years ago
B. Elizabeth's race is given by the equation f(x) = 12 x + 4. Who is riding faster, Elizabeth or Kayer
Elis [28]

Answer:

we need more info how fast is kayer going  and what is x?

Step-by-step explanation:

7 0
3 years ago
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